9780521735605

Zariski Geometries: Geometry from the Logician's Point of View

by
  • ISBN13:

    9780521735605

  • ISBN10:

    0521735602

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2010-03-22
  • Publisher: Cambridge University Press
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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

Summary

This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us understand why algebraic geometry is so fundamental throughout mathematics and why the extension to noncommutative geometry, which has been forced by recent developments in quantum physics, is both natural and necessary. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background.

Table of Contents

Introduction
Topological structures
Noetherian Zariski structures
Classification results
Non-classical Zariski geometries
Analytic Zariski geometries
Basic model theory
Geometric stability theory
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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